查询词典 sequential compactness

In this paper,Laterite soil adjacent to some stake of the highway in Chenzhou, Hunan section from Xiamen to Chengdu was used to investigate the deformation characteristics and protection methods of the Laterite soil subgrade under the influence of environment factors.Properties like water-holding capacity,capillary rise, coupled heat-moisture transfer and wetting deformation of samples under different compactness were studied through a series of laboratory tests.In addition,by using meteorological data of two consecutive years in Chenzhou,coupled process of moisture transfer and subgrade deformation was stimulated under the impacts of groundwater and the atmosphere.Specific work done in this paper is as follows:(1) Samples under different compactness were subjected to a series of conventional laboratory tests,such as permeability,consolidation,contraction,shear test and etc.

论文以厦门至成都高速公路湖南郴州段的红粘土为研究对象，以环境因素作用下红粘土路基的变形特征与防护方法为研究目的，通过室内试验研究了不同压实度红粘土的持水性能、毛细上升、湿热耦合迁移及湿化变形等特征，借助郴州地区连续两年的气象数据，模拟在地下水和大气的共同作用下路基内部红粘土水分迁移与路基变形的耦合过程，主要研究内容及结论如下：(1)针对不同压实度的红粘土，系统开展了其渗透、固结、收缩、剪切等试验研究。

First,we show a compactness theorem in SBH,then byusing this compactness theorem,we discuss variational problems for two different func-tionals.

首先给出了SBH空间的一个紧性定理，然后利用这个定理讨论了两个不同泛函的变分问题。

With the help of the Mountain-Pass Theorem lacking Palais-Smale compactness condition (PSc condition and by adoption of the best attained function of Sobolev embedding, the paper proves the existence of nontrivial solutions of two classes of critical biharmonic equations on boundary conditions by overcoming serial difficulties caused by loss of compactness due to Sobolev embedding.

本文借助于没有 PS 条件的翻山引理，并利用 Sobolev 嵌入的最佳达到函数，克服了由于 Sobolev 嵌入失紧性而带来的系列困难，证明了含临界增长的两类双调和方程边值问题非平凡解的存在性。

Ii Base on the compactness of C〓, we study the compactness of product operators of a composition operator with another one's adjoint on weighted Bergman spaces.

第二，在考虑单个复合算子C〓的紧性的基础上，进一步讨论了乘积算子C〓C〓和C〓C〓在加权Bergman空间A〓上的紧性问题。

Although many results have been obtained, there are still a number of very interesting questions about composition operators unsolved. There is much more to be learned about the collective compactness and convergence of composition operator sequences, compactness of various product of composition operators, cyclicity, closed range and spectra of composition operators in various settings. Commutants of composition operators seem to be very difficult to characterize. Only a little is known about their reducing invariant subspaces. There has been no work on C〓 algebras generated by composition operators.

尽管已取得如此丰富的结果，但是关于复合算子仍然有大量非常有意义的问题值得研究，例如：复合算子序列的总体紧性及收敛性、复合算子的各种乘积的紧性、复合算子的闭值域问题、复合算子在各种解析函数空间上的谱的描述、换位复合算子的刻画、复合算子诱导的不变子空间问题、循环复合算子的研究、由复合算子生成的C〓-代数的研究、不同解析函数空间之间的加权复合算子及复合算子半群等等问题。

Iii By using the well-known properties of the dela vallee-poussin summability kernels and the pass principle of weakly compact operator, we study the weak compactness of C〓 on vector-valued analytic function spaces H〓, B〓, N and N〓, establish some connections between the weak compactness of composition operators and the structure properties of Banach spaces. These generalize and unify the corresponding results in the scalar-valued setting and enrich the content of the study of composition operator in another way.

第三，利用著名的de la Vallee-poussin可和核及有关算子的弱紧性的传递原理给出了向量值解析函数空间H〓、B〓、N及N〓上的复合算子的弱紧性的刻画，建立了复合算子的弱紧性与Banach空间的结构性质之间的联系，统一和推广了对应的数量值解析函数空间上的复合算子的弱紧性，这从另一种途径极大地丰富了复合算子的研究内容。

Furthermore,inspired by〓and the study of compactness in chapter four,wediscuss the boundedness and compactness of integral operator〓.

受〓及第四章关于紧算子的研究的启发，本章还讨论了积分算子〓的有界性和紧性。

On the same time, using GTM density control the construction quality reduce the phenomenon that the compactness is larger than 100%, and avoid pursuing the levelness with insufficient real compactness.

试验路的施工表明，用GTM方法推荐的级配的施工工艺与马歇尔设计方法推荐级配的沥青混凝土相同，只要碾压组合方式合理，均可得到要求的压实度和现场孔隙率，同时，用GTM密度控制施工质量减少了压实度超百的现象，从而避免了实际压实度不够情况下追求平整度的现象。

In this paper, based on local compactness in topological spaces, local N-compactness and connectedness in L—topological spaces, we have studied local paxacompactness in topological spaces, local paxacompactness and δ—connectedness in L—topological spaces.

本文以拓扑空间的局部紧性、L-拓扑空间的局部良紧性以及连通性为基础，研究拓扑空间的局部仿紧性、L-拓扑空间的局部仿紧性以及δ-连通性。

Since the solutions of this problem are the critical points of the associated energy function. One generally needs some compactness such as PScondition or C-condition to prove the existence of critical points of the energy func-tion, but when we study the elliptic equation in R~N, the compactness condition does not always hold since the imbedding of the Sobolev space H_0~(1,2)into L~(2*) is not compact. In this chapter, based on the nonsmooth critical point theory, and by using the approximation technique with periodic function, the existence of nontrivial solution is obtained.

由于该方程的解就是其所对应的能量泛函的临界点，通常都要在一些紧型条件的基础上来证明其所对应的能量泛函临界点的存在性，但当我们在无界域上考虑该椭圆方程解的存在性时，Sobolev空间H_0~(1，2)到L~(2*)的嵌入非紧，从而导致所对应的能量泛函失去紧性，本章在非光滑临界点理论的基础上，应用周期逼近的方法证明该问题非平凡解的存在性。

A backer of an Afghan law that critics say legalizes marital rape has rejected the international outcry as foreign meddling.

饱受批评的一项法律的拥护者说合法化的婚内暴力不会受国际舆论的干涉。

Years ago, a ancient Egyptian fleet went to the Land of punt for seeking a kind of flavor named "myrrh", and aromatic plants which has dense exotic style for the queen Hatshepsut.

3500年前的一个古埃及的舰队到&彭特之地&寻找一种叫没药的香料。